According to the BBC, Blatter has apologised to the English authorities for a decision to disallow a legitimate goal against Germany, as well as to the Mexican authorities after an Argentinean goal stood despite being offside.
Blatter said: "It is obvious that after the experiences so far at this World Cup it would be a nonsense not to reopen the file on goal-line technology.
"We will naturally take on board the discussion on technology and have the first opportunity in July at the business meeting."
The announcement represents a u-turn by FIFA, which had ruled against the introduction of goal line technology and video replays earlier this year after Ireland was eliminated from the World Cup by France.
Hawk-Eye, which has provided technology solutions for cricket and tennis, is one of the goal line systems to be tested - and subsequently rejected - by the world governing body.
A company spokesperson said: "It took a series of poor line calls in the 2004 US Open as the catalyst for change for electronic line calling in tennis. If this incident is the same catalyst in football, then whilst it is disappointing that FIFA have been reactive rather than proactive, at least football will change for the better in the long run."
Cairos, which has proposed a system using a chip located within the ball, has also disputed claims that goal line technology cannot be adequately implemented in football.
Christian Holzer, managing director of Cairos, told the BBC: "The chip is right in the centre, in a very robust mounting. We've played hundreds of matches to see if it had any effect - including blind tests - and there was none."